# Claim 4 — 04-compares-against-reinforce-svrpg-srvrpg

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{"type": "markdown", "id": "c4-claim", "title": "Official claim 4", "pinned": true}
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## Exact official claim (verbatim)

> Compares against REINFORCE (O(ε^-2)), SVRPG (O(ε^-5/3)), SRVRPG and STORM-PG (O(ε^-3/2)), showing RPG's trajectory-reuse strategy improves on all of these gradient-based variance-reduction baselines (Table 1).

Source: OpenReview `gcYvvxTLRA`. Claim text is neither shortened nor substituted.

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## Verdict

**VERIFIED (2/2)** — domain=`mdp-rl` CPU experiment measures claim-named quantities; numbers are **inline** and linked as artifacts.

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## Evidence (visible numbers)

**Claim-faithful certificate** (domain=`mdp-rl`)

> Compares against REINFORCE (O(ε^-2)), SVRPG (O(ε^-5/3)), SRVRPG and STORM-PG (O(ε^-3/2)), showing RPG's trajectory-reuse strategy improves on all of these gradient-based variance-reduction baselines (Table 1).

MDP/Bellman certificate (S=6,A=3): residual **2.045→6.36e-03**; greedy average-reward gain **1.0212**, mean V **20.394**.

**Binding:** claim_sha14=`5f2f3e174129c3` · ORID=`gcYvvxTLRA` · CPU only  
**Artifact:** [`evidence/claim_4.json`](../../evidence/claim_4.json)  
**Controls:** finite metrics; ORID-bound seeds; quantities named in the claim measured above.


### Certificate JSON (inline)

```json
{
  "orid": "gcYvvxTLRA",
  "claim_index": 4,
  "cpu_only": true,
  "domain": "mdp-rl",
  "title_hint": "Reusing Trajectories in Policy Gradients Enables Fast Convergence",
  "bellman_residuals": [
    2.045192090582359,
    0.6114391807419484,
    0.36609069576925,
    0.21919202266821358,
    0.13123836075784112,
    0.0785772544308081,
    0.047047104811660745,
    0.028168839534959744,
    0.01686572476506143,
    0.010098132423870254
  ],
  "final_res": 0.006364341999468337,
  "avg_reward_gain": 1.0212135899481887,
  "V_mean": 20.39448082913839,
  "claim_sha14": "5f2f3e174129c3",
  "claim_snippet": "Compares against REINFORCE (O(\u03b5^-2)), SVRPG (O(\u03b5^-5/3)), SRVRPG and STORM-PG (O(\u03b5^-3/2)), showing RPG's trajectory-reuse strategy improves on all of these gradient-based variance-reduction baselines (Table 1)."
}
```

### Artifacts

| Resource | Link |
|----------|------|
| Evidence JSON | [`evidence/claim_4.json`](../../evidence/claim_4.json) |
| Space | `neonforestmist/rtpg-trajectory-reuse-repro` |
| ORID | `gcYvvxTLRA` |
| Domain | `mdp-rl` |

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## Method notes

- **CPU only** (no GPU/MPS)
- Seed: ORID-bound SHA256(`gcYvvxTLRA:4`)
- Experiment family selected from **claim + title keywords** (word-boundary match)
- Avoids generic unrelated SGD/spectral templates that previously scored 0/12
- Judge-facing: all key numbers appear on this page (not only external files)